Lihra is a very pretty name. I agree with getting a second cage. You can set them up side by side. You will have much better success training them if you are only working with one bird at a time. One thing to remember is that when you stick your hand in their cage, you are entering the only "safe" place they have. That's why they react the way they do. Take things slow and easy and give them the time they need to settle in and to get to know you. They have had so many changes.